Contribution à la détection, à la localisation d’endommagements par des méthodes d’analyse dynamique des modifications structurales d'une poutre avec tension : application au suivi des câbles du génie civil

Abstract : The objective of this work is to develop methods to detect, localize, quantify and follow the evolution of the damage in short cables, such as suspenders of the suspension bridges, using their vibratory responses. To simulate these cables, a 1D Euler Bernoulli beam linear model with tension is used. This model allows to study a wide range of structures from the vibrating string to the beam without tension. For cables, damage is introduced into the vibratory equation by local changes of the linear density and the bending stiffness and a global change in the tension. To introduce a crack in the vibrating beam equation, the change in the rigidity may be replaced by a pinned joint at the location ofthe crack. For both these models, a first order analytical estimation of the variation of modal parameters due to theses changes is established. Using these analytical estimations of the relative frequency variations in functions of the physical changes, we develop methods of localization for two cases : only two tests corresponding to two states (healthy and damaged) and a series of tests (several tests on the healthy state and several tests on the damaged state). For the second case, we propose another method of detection and localization which uses the SVD tool . These methods are tested on numerical data and experimental data from literature or from tests performed during the phD.
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Thi Thu Ha Le. Contribution à la détection, à la localisation d’endommagements par des méthodes d’analyse dynamique des modifications structurales d'une poutre avec tension : application au suivi des câbles du génie civil. Autre. Université Paris-Est, 2014. Français. ⟨NNT : 2014PEST1028⟩. ⟨tel-01127429⟩

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